We have studied the excitation of an atomic hydrogen by
,
and
ions in the range of intermediate and high impact velocities, v
= 1-7 au. The theoretical method is based on a one-centre close-coupling expansion of the time-dependent wavefunction, which includes a discretized representation of the ionization continuum. The calculated cross sections are in very good agreement with the available experimental measurements up to n
= 6. In contrast, some discrepancies are observed for dipole-forbidden transitions when comparing with previous theoretical data. The results show the validity of the Janev-Presnyakov scaling law for both optically-allowed and forbidden excitation transitions.